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Mathematik-Online problems:

Problem 945: Greatest Integer Function


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With $ \lfloor x \rfloor$, or alternately $ [[x]]$, defined as the greatest integer function, answer the given questions:
(a)
Evaluate the following values: $ \lfloor -5.3\rfloor, \lfloor 10.64\rfloor,
\lfloor 8.0\rfloor$.
(b)
Describe the interval over which the function $ f(x) = \lfloor x-5\rfloor$ is continuous with $ x \ge 0$.
(Author: Rafee )

Solution:


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  automatisch erstellt am 2. 12. 2004